1. An airline knows from experience that the distribution of the number of minutes late a flight can be on a certain route is approximately normal with = 15.7 and = 3.2.

a. What is the probability that during a given week the flight will be less than 21 minutes late?

b. What is the probability that during a given week the flight will be more than 21 minutes late?

c. What is the probability that during a given week the flight will be between 15 and 23 minutes late?

Round your answers to three decimal places.

2. The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days.

a. Find the probability of a pregnancy lasting more than 295 days.

b. Find the probability of a pregnancy lasting less than 240 days.

Round your answer to three decimal places.

3. Assume that the heights of men are normally distributed with a mean of 70.3 inches and a standard deviation of 1.2 inches. If the top 5 percent and bottom 5 percent are excluded for an experiment, what are the cutoff heights to be eligible for this experiment?

a. smaller answer=

b. larger answer=

Round your answers to one decimal place.